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No.

In any triangle on a plane surface, each exterior angle is equal to the sum of the other two interior angles.

Suppose A,B and C are the interior angles and a b and c the corresponding exterior angles.

Then a < 90 implies that B + C < 90

and b< 90 implies that A + C < 90

This gives B+C+A+C < 180 so that A+B+C < 180 which contradicts a property of triangles.

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